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Simplifying -2.1(a + -0.5) = -1.5(a + 1.5) Reorder the terms: -2.1(-0.5 + a) = -1.5(a + 1.5) (-0.5 * -2.1 + a * -2.1) = -1.5(a + 1.5) (1.05 + -2.1a) = -1.5(a + 1.5) Reorder the terms: 1.05 + -2.1a = -1.5(1.5 + a) 1.05 + -2.1a = (1.5 * -1.5 + a * -1.5) 1.05 + -2.1a = (-2.25 + -1.5a) Solving 1.05 + -2.1a = -2.25 + -1.5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '1.5a' to each side of the equation. 1.05 + -2.1a + 1.5a = -2.25 + -1.5a + 1.5a Combine like terms: -2.1a + 1.5a = -0.6a 1.05 + -0.6a = -2.25 + -1.5a + 1.5a Combine like terms: -1.5a + 1.5a = 0.0 1.05 + -0.6a = -2.25 + 0.0 1.05 + -0.6a = -2.25 Add '-1.05' to each side of the equation. 1.05 + -1.05 + -0.6a = -2.25 + -1.05 Combine like terms: 1.05 + -1.05 = 0.00 0.00 + -0.6a = -2.25 + -1.05 -0.6a = -2.25 + -1.05 Combine like terms: -2.25 + -1.05 = -3.3 -0.6a = -3.3 Divide each side by '-0.6'. a = 5.5 Simplifying a = 5.5
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